Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process

Volume 26, Issue 2, pp 113--127 http://dx.doi.org/10.22436/jmcs.026.02.02
Publication Date: November 05, 2021 Submission Date: October 23, 2020 Revision Date: March 10, 2021 Accteptance Date: August 13, 2021

Authors

M. A. AL-Nahhas - International Academy for Engineering and Media Sciences, Cairo, Egypt. H. M. Ahmed - Higher Institute of Engineering , El-Shorouk Academy, El-Shorouk City, Cairo, Egypt. H. M. El-Owaidy - Faculty of Sciences, Al-Azhar University, Cairo, Egypt.


Abstract

By using stochastic analysis, compact semigroups and Schauder fixed-point theorem, we discuss the null boundary controllability of nonlinear integrodifferential system with Rosenblatt process. In addition, the null boundary controllability of Sobolev-type neutral integro-differential system with Rosenblatt is studied. Finally, an example is given to illustrate the obtained results. The null controllability results for stochastic differential systems with Rosenblatt process and control on the boundary have not yet been considered in the literature, and this fact motivates this work.


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ISRP Style

M. A. AL-Nahhas, H. M. Ahmed, H. M. El-Owaidy, Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process, Journal of Mathematics and Computer Science, 26 (2022), no. 2, 113--127

AMA Style

AL-Nahhas M. A., Ahmed H. M., El-Owaidy H. M., Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process. J Math Comput SCI-JM. (2022); 26(2):113--127

Chicago/Turabian Style

AL-Nahhas, M. A., Ahmed, H. M., El-Owaidy, H. M.. "Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process." Journal of Mathematics and Computer Science, 26, no. 2 (2022): 113--127


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